Convex metric space

id: convex-metric-space-266-3090217
title: Convex metric space
text: In mathematics, convex metric spaces are, intuitively, metric spaces with the property any "segment" joining two points in that space has other points in it besides the endpoints. Formally, consider a metric space (X, d) and let x and y be two points in X. A point z in X is said to be between x and y if all three points are distinct, and that is, the triangle inequality becomes an equality. A convex metric space is a metric space (X, d) such that, for any two distinct points x and y in X, there
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original url: https://en.wikipedia.org/wiki/Convex_metric_space
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date modified: 2022-08-24T19:05:50Z
main entity: {"identifier":"Q3966092","url":"https://www.wikidata.org/entity/Q3966092"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/04/Convex_metric_illustration2.svg","width":836,"height":819}
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